Quantum-assisted rendezvous on graphs: explicit algorithms and quantum computer simulations

Autor: J Tucker, P Strange, P Mironowicz, J Quintanilla
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: New Journal of Physics, Vol 26, Iss 9, p 093038 (2024)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/ad78f8
Popis: We study quantum advantage in one-step rendezvous games on simple graphs analytically, numerically, and using noisy intermediate-scale quantum (NISQ) processors. Our protocols realise the recently discovered (Mironowicz 2023 New J. Phys. 25 013023) optimal bounds for small cycle graphs and cubic graphs. In the case of cycle graphs, we generalise the protocols to arbitrary graph size. The NISQ processor experiments realise the expected quantum advantage with high accuracy for rendezvous on the complete graph K _3 . In contrast, for the graph $2K_4$ , formed by two disconnected 4-vertex complete graphs, the performance of the NISQ hardware is sub-classical, consistent with the deeper circuit and known qubit decoherence and gate error rates.
Databáze: Directory of Open Access Journals